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Renormalization group approach to matrix models via noncommutative space
We develop a new method for analyzing the large‐N limit of matrix models. We assign the concept of energy to each matrix element and integrate the most highest energy to get a new matrix model which has reduced rank. By regarding this procedure as a renormalization group, we deduce the critical expo...
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Published in: | Fortschritte der Physik 2014-09, Vol.62 (9-10), p.792-796 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | We develop a new method for analyzing the large‐N limit of matrix models. We assign the concept of energy to each matrix element and integrate the most highest energy to get a new matrix model which has reduced rank. By regarding this procedure as a renormalization group, we deduce the critical exponents in the large‐N limit by elaborating fixed points of renormalization group transformation. For consistency of our method, we compare our result to that obtained by another method and find nice agreement. |
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ISSN: | 0015-8208 1521-3978 |
DOI: | 10.1002/prop.201400032 |